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Finding the Fourth Proportional to 2,654.15, 3,981.60 and 874.62

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Solution

The fourth proportional to 2,654.15, 3,981.60 and 874.62 is: 1,312.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.15 : 3,981.60 = 874.62 : x
  2. Step 2: Convert to fraction form
    2,654.15/3,981.60 = 874.62/x
  3. Step 3: Cross multiply
    2,654.15x = 3,981.60 × 874.62
  4. Step 4: Simplify right side
    2,654.15x = 3,482,386.99
  5. Step 5: Solve for x
    x = 3,482,386.99/2,654.15
  6. Step 6: Final answer
    x = 1,312.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.